Pohlmeyer reduction and Darboux transformations in Euclidean worldsheet AdS_3

Details Pohlmeyer reduction and Darboux transformations in Euclidean worldsheet AdS_3 Pohlmeyer reduction and Darboux transformations in Euclidean worldsheet AdS_3

2012-03-15

arxiv.org/abs/1203.3460v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

Pohlmeyer reduction has been instrumental both in the program for computing gluon scattering amplitudes at strong coupling, and more recently in the progress towards semiclassical three-point correlators of heavy operators in AdS/CFT. After a detailed review of the method, we combine it with Darboux and Crum transformations in order to obtain a class of string solutions corresponding to an arbitrary number of kinks and breathers of the elliptic sinh-Gordon equation. We also use our construction in order to identify the previously found dressed giant gluon with the single breather solution.

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